Wavelet transformation based multi-time scaling method for crystal plasticity FE simulations under cyclic loading

Computer Methods in Applied Mechanics and Engineering

Volumn 199, Issue 33-36, 2010, Pages 2177-2194

  Joseph, Deepu S ^a   Chakraborty, Pritam ^a   Ghosh, Somnath ^a  

^a The Ohio State University   (United States)

Author keywords

Adaptivity; Crystal plasticity; Multi time scaling; Wavelet transformation

Indexed keywords

ADAPTIVITY; CONVENTIONAL METHODS; CRYSTAL PLASTICITY; CRYSTAL PLASTICITY FINITE ELEMENT; CRYSTAL PLASTICITY MODELS; CYCLIC LOADING CONDITIONS; CYCLIC LOADINGS; FATIGUE CRACKING; FE-SIMULATION; FINITE ELEMENT ANALYSIS; HIGH FREQUENCY RESPONSE; LOW FREQUENCY; MATERIAL RESPONSE; MULTISCALING; NUMBER OF CYCLES TO FAILURE; NUMERICAL EXAMPLE; POLYCRYSTALLINE; SCALE SEPARATION; TI ALLOYS; TIME-SCALES; TIME-SCALING; VISCOPLASTIC; WAVELET BASIS FUNCTIONS; WAVELET TRANSFORMATIONS;

ALGORITHMS; COMPUTATIONAL EFFICIENCY; CRACKS; CYCLIC LOADS; FATIGUE OF MATERIALS; FREQUENCY RESPONSE; PLASTICITY; POLYCRYSTALLINE MATERIALS; QUALITY ASSURANCE; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS; TITANIUM ALLOYS; WAVELET DECOMPOSITION;

FINITE ELEMENT METHOD;

EID: 77953541795     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.03.020     Document Type: Article

References (52)

1. Suresh S. Fatigue of Materials 1998, Cambridge University Press, Cambridge.
2. Coffin L.F. Fatigue. Ann. Rev. Matls. Sci. 1973, 2:313-348.
3. Laird C.M. The fatigue limit of metals. Mater. Sci. Eng. 1976, 22:231-236.
4. Fleck N.A., Kang K.J., Ashby M.F. The cyclic properties of engineering materials. Acta Metall. Mater. 1994, 42:365-381.
5. Hashimoto T.M., Pereira M.S. Fatigue life studies in carbon dual-phase steels. Int. J. Fatigue 1996, 18(8):529-533.
6. Paris P.C. The Fracture Mechanics Approach to Fatigue, Fatigue-An Interdisciplinary Approach 1964, Syracuse University Press, Syracuse.
7. Fredell R.S. Operational Needs for a Paradigm Shift in Life Prognosis. Workshop on Prognosis of Aircraft and Space Devices, Components, and Systems 2008, University of Cincinnati, Cincinnati, Ohio.
8. Lord D.C., Coffin L.F. Low cycle fatigue hold time behavior of cast Rene 80. Metall. Trans. 1973, 4:1647-1653.
9. Tsuji H., Kondo T. Strain-time effects in low cycle fatigue of Nickel-based heat resistant alloys at high temperature. J. Nucl. Mater. 1987, 190:259-265.
10. Antolovich S.D., Liu S., Baur R. Low cycle fatigue behavior of Rene 60 at elevated temperature. Metall. Trans. 1981, 12A:473-481.
11. Mineur M., Villechaise P., Mendez J. Influence of the crystalline texture on the fatigue behavior of a 316L austenitic stainless steel. Mater. Sci. Eng. 2000, A286:257-268.
12. Bennett V.P., McDowell D.L. Polycrystal orientation distribution effects on microslip in high cycle fatigue. Int. J. Fatigue 2003, 25:27-39.
13. Kirane K., Ghosh S., Groeber M., Bhattacharjee A. Crystal plasticity finite element based grain level crack nucleation criterion for Ti-6242 alloys under dwell loading. J. Eng. Mater. Technol. ASME 2009, 131:27-37.
14. Anahid M., Chakraborty P., Joseph D.S., Ghosh S. Wavelet decomposed dual-time scale crystal plasticity FE model for analyzing cyclic deformation induced crack nucleation in polycrystals. Model. Simul. Mater. Sci. Eng. 2009, 17:064009.
15. Chu R.Q., Cai Z., Li S.X., Wang Z.G. Fatigue crack initiation and propagation in an a-iron polycrystals. Mater. Sci. Eng. 2001, 313:61-68.
16. Harren S.V., Asaro R.J. Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model. J. Mech. Phys. Solids 1989, 37(2):191-232.
17. Mathur K.K., Dawson P.R., Kocks U.F. On modeling anisotropy in deformation processes involving textured polycrystals with distorted grain shape. Mech. Mater. 1990, 10:183-202.
18. Kalidindi S.R., Bronkhorst C.A., Anand L. On the accuracy of the Taylor assumption in polycrystalline plasticity. Anisotropy and Localization of Plastic Deformation 1991, 139-142. Elsevier Applied Science, London, New York. J.P. Boehler, A.S. Khan (Eds.).
19. Kalidindi S.R., Bronkhorst C.A., Anand L. Crystallographic texture evolution in bulk deformation processing of fcc metals. J. Mech. Phys. Solids 1992, 40:537-569.
20. Beaudoin A.J., Mecking H., Kocks U.F. Development of local shear bands and orientation gradients in fcc polycrystals. Simulation of Materials Processing; Theory, Methods and Applications, NUMIFORM'95 1995, 225-230. A.A. Balkema, Rotterdam. S.F. Shen, P.R. Dawson (Eds.).
21. Turkmen H.S., Loge R.E., Dawson P.R., Miller M. On the mechanical behavior of AA 7075-T6 during cyclic loading. Int. J. Fatigue 2003, 25:267-281.
22. Dawson P.R. Computational crystal plasticity. Int. J. Solids Struct. 2000, 37:115-130.
23. Hasija V., Ghosh S., Mills M.J., Joseph D.S. Modeling deformation and creep in Ti-6Al alloys with experimental validation. Acta Mater. 2003, 51:4533-4549.
24. Deka D., Joseph D.S., Ghosh S., Mills M.J. Crystal plasticity modeling of deformation and creep in polycrystalline Ti-6242. Metall. Trans., A. 2006, 17A(5):1371-1388.
25. Venkatramani G., Deka D., Ghosh S. Crystal plasticity based FE model for understanding microstructural effects on creep and dwell fatigue in Ti-6242, ASME Jour. Engng. Mater. Tech. 2006, 128(3):356-365.
26. Venkataramani G., Ghosh S., Mills M.J. A size dependent crystal plasticity finite element model for creep and load-shedding in polycrystalline Titanium alloys. Acta Mater. 2007, 55:3971-3986.
27. Venkataramani G., Kirane K., Ghosh S. Microstructural parameters affecting creep induced load shedding in Ti-6242 by a size dependent crystal plasticity FE model. Int. J. Plast. 2008, 24:428-454.
28. Kirane K., Ghosh S. A cold dwell fatigue crack nucleation criterion for polycrystalline Ti-6242 using grain-level crystal plasticity FE model. Int. J. Fatigue 2008, 30:2127-2139.
29. Xie C.L., Ghosh S., Groeber M. Modeling cyclic deformation of HSLA steels using crystal plasticity. ASME J. Eng. Mater. Technol. 2004, 126:339-352.
30. Sinha S., Ghosh S. Modeling cyclic ratcheting based fatigue life of HSLA steels using crystal plasticity FEM simulations and experiments. Int. J. Fatigue 2006, 28:1690-1704.
31. Hughes T.J.R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis 2000, Dover, Mineola, N. Y.
32. Bathe K.J. Finite Element Procedures 1995, Prentice Hall.
33. Blekhman I.I. Vibrational Mechanics 2000, World Scientific.
34. Thomsen J.J. Vibrations and Stability: Theory, Analysis and Tools 2004, Springer-Verlag, Berlin.
35. Oskay C., Fish J. Multiscale modeling of fatigue for ductile materials. Int. J. Multiscale Comput. Eng. 2004, 2:1-25.
36. Yu Q., Fish J. Temporal homogenization of viscoelastic and viscoplastic solids subjected to locally periodic loading. Comput. Mech. 2002, 29:199-211.
37. Manchiraju S., Asai M., Ghosh S. A dual time scale finite element model for simulating cyclic deformation of polycrystalline alloys. J. Strain Anal. Eng. Des. 2007, 42:183-200.
38. Balasubramanian S., Anand L. Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homogeneous temperatures. J. Mech. Phys. Solids 2002, 50:101-126.
39. Asaro R.J., Rice J.R. Strain localization in ductile single crystals. J. Mech. Phys. Solids 1977, 25:309-338.
40. Harder J. Crystallographic model for the study of local deformation processes in polycrystals. Int. J. Plast. 1999, 15:605-624.
41. Morrissey R.J., McDowell D.L., Nicholas T. Microplasticity in HCF of Ti-6Al-4V. Int. J. Fatigue 2001, 23:S55-S64.
42. Goh C.H., Wallace J.M., Neu R.W., McDowell D.L. Polycrystal plasticity simulations of fretting fatigue. Int. J. Fatigue 2001, 23:5423-5435.
43. Goh C.H., Neu R.W., McDowell D.L. Crystallographic plasticity in fretting of Ti-6Al-4V. Int. J. Plast. 2003, 19:1627-1650.
44. Chow C.L., Wei Y. A model of continuum damage mechanics for fatigue failure. Int. J. Fract. 1991, 50:301-316.
45. Paas M.H.J.W., Schreurs P.J.G., Berkelmans W.A.M. A continuum approach to brittle and fatigue damage: theory and numerical procedures. Int. J. Solids Struct. 1993, 30:579-599.
46. Fish J., Yu Q. Computational mechanics of fatigue and life predictions for composite materials and structures. Comput. Methods Appl. Mech. Eng. 2002, 191:4827-4849.
47. Oskay C., Fish J. Fatigue life prediction using 2-scale temporal asymptotic homogenization. Int. J. Numer. Methods Eng. 2004, 61:329-359.
48. Manchiraju S., Kirane K., Ghosh S. Dual-time scale crystal plasticity FE model for cyclic deformation of Ti alloys. J. Comp. Aid. Mater. Des. 2008, 14:47-61.
49. Walker J.S. A primer on wavelets and their scientific applications 1999, CRC Press.
50. Strang G., Nguyen T. Wavelets and Filter Banks 1996, Wellessey College.
51. Jense A., Cour-Harbo A.L. Ripples in Mathematics, the Discrete Wavelet Transform 2001, Springer.
52. Crisfield M.A. Non-linear Finite Element Analysis of Solids and Structures 1996, Academic Press.